////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page39.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(11,5,10458)

Problem:
10463*x_1+10459*x_2+10462*x_3+10460*x_4+10458*x_5=10461 (mod 10464)
10465*x_1+10470*x_2+10469*x_3+10471*x_4+10468*x_5=10466 (mod 10467)
10478*x_1+10474*x_2+10476*x_3+10473*x_4+10475*x_5=10472 (mod 10477)
10481*x_1+10485*x_2+10480*x_3+10482*x_4+10484*x_5=10479 (mod 10483)
10491*x_1+10486*x_2+10489*x_3+10492*x_4+10487*x_5=10490 (mod 10488)
10493*x_1+10499*x_2+10498*x_3+10496*x_4+10497*x_5=10494 (mod 10495)
10502*x_1+10501*x_2+10504*x_3+10500*x_4+10505*x_5=10506 (mod 10503)
10512*x_1+10510*x_2+10513*x_3+10511*x_4+10509*x_5=10508 (mod 10507)
10516*x_1+10519*x_2+10518*x_3+10514*x_4+10515*x_5=10520 (mod 10517)
10521*x_1+10523*x_2+10522*x_3+10527*x_4+10524*x_5=10525 (mod 10526)
10532*x_1+10528*x_2+10533*x_3+10534*x_4+10530*x_5=10531 (mod 10529)

Solution:
x_1=230813263215677994152108742836232773039
x_2=161073021347725018144809965514814733196
x_3=172411494900152866212974642176313078804
x_4=198089802651239463308524056968529920328
x_5=66029934217079821102841352322843306776